111101004 has 96 divisors (see below), whose sum is σ = 331430400. Its totient is φ = 31527360.

The previous prime is 111100981. The next prime is 111101033. The reversal of 111101004 is 400101111.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134914 + ... + 135734.

It is an arithmetic number, because the mean of its divisors is an integer number (3452400).

Almost surely, 2^111101004 is an apocalyptic number.

111101004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111101004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165715200).

111101004 is an abundant number, since it is smaller than the sum of its proper divisors (220329396).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

111101004 is a wasteful number, since it uses less digits than its factorization.

111101004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 111101004 is about 10540.4461006164. The cubic root of 111101004 is about 480.7352793505.

Adding to 111101004 its reverse (400101111), we get a palindrome (511202115).

The spelling of 111101004 in words is "one hundred eleven million, one hundred one thousand, four".